# What is Dimensional Formula of Gravitational Potential?

Posted in Dimensional Formulae | Email This Post |The Gravitational Potential at a point in a gravitational field is defined as the amount of work done in bringing a body of unit mass from infinity to that point without acceleration.The gravitational potential at a point is always negative, it is maximum (= 0 ) at infinity.

Mathematically,

Gravitational Potential at a point (V) = Work done (W) / mass (M)

**Dimensional Formula of Work= M ^{1}L^{2}T^{-2}**

Dimensional formula of Mass = M^{1}L^{0}T^{0}

Putting these values in above equation we get,

**The Dimensional formula of Gravitational Potential is M ^{0}L^{2}T^{-2}.**

**The SI unit of Gravitational Potential is J kg-1.**

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